Geometric Reasoning

Front

What is a biconditional statement?

Back

A biconditional statement is a logical statement that combines a conditional statement and its converse, and is true only when both the conditional and its converse are true.

Front

What must be true for a biconditional statement to be valid?

Back

Both the conditional statement and its converse must be true.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

How can you prove a conjecture false?

Back

By providing a counterexample.

Front

What is the definition of conditional statement?

Back

A conditional statement is a logical statement that has the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P'.

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

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What is deductive reasoning?

Back

Deductive reasoning is a method of reasoning from the general to the specific, where conclusions are based on premises that are generally accepted as true.

Front

What is a conjecture in geometry?

Back

A conjecture is a statement that is believed to be true based on observations but has not yet been proven.

Front

What is a pattern in mathematics?

Back

A pattern is a repeated or recurring sequence of numbers, shapes, or other elements that follows a specific rule.